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Finding the Third Proportional to 40,058 and 92,731

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Solution

The third proportional to 40,058 and 92,731 is: 214,664.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,058 : 92,731 = 92,731 : x
  2. Step 2: Convert to fraction form
    40,058/92,731 = 92,731/x
  3. Step 3: Cross multiply
    40,058x = 92,731 × 92,731
  4. Step 4: Simplify right side
    40,058x = 8,599,038,361
  5. Step 5: Solve for x
    x = 8,599,038,361/40,058
  6. Step 6: Final answer
    x = 214,664.70

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Why These Related Problems?

These problems maintain the same ratio (2.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.